Pith Number

pith:KDCT72DG

pith:2013:KDCT72DG5UFOGQHORPRS3QJBUF

not attested not anchored not stored refs pending

Generalized Holographic Equipartition for Friedmann-Robertson-Walker Universes

Hua Chen, Jian-Bo Deng, Wen-Yuan Ai, Xian-Ru Hu

arxiv:1309.1857 v3 · 2013-09-07 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDCT72DG5UFOGQHORPRS3QJBUF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:54:07.118174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50c53fe866ed0ae340ee8be32dc121a1439cf358bb33f5c134db9313bcd406ea

Aliases

arxiv: 1309.1857 · arxiv_version: 1309.1857v3 · doi: 10.48550/arxiv.1309.1857 · pith_short_12: KDCT72DG5UFO · pith_short_16: KDCT72DG5UFOGQHO · pith_short_8: KDCT72DG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KDCT72DG5UFOGQHORPRS3QJBUF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 50c53fe866ed0ae340ee8be32dc121a1439cf358bb33f5c134db9313bcd406ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a7c28d121584da57c7851e150b2306335508a997f3331cbbbfdba4c46755802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-09-07T12:02:05Z",
    "title_canon_sha256": "0910c2cfba5eee414b2cde65117fcb132acae64af5639d347c732eaab5e5377a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1857",
    "kind": "arxiv",
    "version": 3
  }
}